3112416 has 72 divisors (see below), whose sum is σ = 9022104. Its totient is φ = 1017600.

The previous prime is 3112399. The next prime is 3112423. The reversal of 3112416 is 6142113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29035 + ... + 29141.

It is an arithmetic number, because the mean of its divisors is an integer number (125307).

Almost surely, 2^3112416 is an apocalyptic number.

3112416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511052).

3112416 is an abundant number, since it is smaller than the sum of its proper divisors (5909688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3112416 is a wasteful number, since it uses less digits than its factorization.

3112416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3112416 is about 1764.2040698287. The cubic root of 3112416 is about 146.0043784263.

Adding to 3112416 its reverse (6142113), we get a palindrome (9254529).

The spelling of 3112416 in words is "three million, one hundred twelve thousand, four hundred sixteen".